Differential and Integral Equations

Multiple continuation beyond blow-up

Marek Fila and Noriko Mizoguchi

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Abstract

We construct solutions of a supercritical parabolic equation which blow up in finite time but possess multiple global continuations (as weak solutions).

Article information

Source
Differential Integral Equations Volume 20, Number 6 (2007), 671-680.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039431

Mathematical Reviews number (MathSciNet)
MR2323043

Zentralblatt MATH identifier
1212.35231

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions 35K15: Initial value problems for second-order parabolic equations

Citation

Fila, Marek; Mizoguchi, Noriko. Multiple continuation beyond blow-up. Differential Integral Equations 20 (2007), no. 6, 671--680. https://projecteuclid.org/euclid.die/1356039431.


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